There are 50 :
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 69 71 73 75 77 79 81 83 85 87 89 91 93 95 97 99
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101
101
101
The sum of 5 odd numbers must be odd and 100 is even. So there cannot be such a set.
They are: 13579111315171921232527293133353739414345474951535557596163656769717375777981838587899193959799.